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When you save a JPG from Photoshop you have options to change the quality. The lower the quality, the smaller the file. Try saving it as high rather than max, or medium rather than high.

The other trick is to go into your preferences and disable 'save preview' and 'preview thumbnail' - as these both add to the file size - and sometimes the 'preview' can be larger than the image itself.

I find the easiest way to get any picture down to a specific size, is to use the 'save for web' function as it lets you play with quality/sizes before you save the file.